Given numbers are 764,828,460,741,533

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 764,828,460,741,533 is 8007823980.

Find LCM of 764,828,460,741,533 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 13 x 23 x 191 x 3 x 5 x 19 x 41 = 8007823980

Therefore, the lowest common multiple of 764,828,460,741,533 is 8007823980.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

764 x 828 x 460 x 741 x 533 = 114928289760960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

764 : 1, 2, 4, 191, 382, 764

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

741 : 1, 3, 13, 19, 39, 57, 247, 741

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,828,460,741,533, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

828:2x 2x 3x 3x 23

460:2x 2x 5x 23

741:3x 13x 19

533:13x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 13x 23 = 14352

Therefore, the value for common factors is 14352.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 114928289760960/(1x14352)

LCM = 114928289760960/14352

LCM = 8007823980

Thus, we can understand that the LCM of 764,828,460,741,533 is 8007823980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 482, 575, 452, 597, 564
• LCM of 686, 776, 833, 788, 495
• LCM of 938, 162, 268, 621, 382
• LCM of 201, 371, 834, 281, 981
• LCM of 625, 607, 468, 217, 307

1. What is the LCM of 764, 828, 460, 741, 533?

Answer: LCM of 764, 828, 460, 741, 533 is 8007823980.

2. How to calculate the LCM of 764, 828, 460, 741, 533?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 764, 828, 460, 741, 533.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.